Existence and stability of fourth-order nonlinear plate problem

Abstract

In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.

Keywords

• nonlinear
• plate
• fourth-order
• stability
• well-posedness
• 35a01
• 35l51
• 35l71
• 35b35
• 35b41